Areas of Segments of the Circle

The area made by an arc and a chord is called the Segment of the Circle.

Minor Segment

The area made by chord AB and arc X is the minor segment. The area of the minor segment can be calculated by

Area of Minor Segment = Area of Minor Sector – Area of ∆ABO

=\dfrac{\theta}{360^o}\times\pi r^2-\dfrac{1}{2}r^2\sin\theta

Major Segment

The other part of the circle except for the area of the minor segment is called a Major Segment.

Area of Major Segment =\pi r^2-   Area of Minor Segment

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